Dr. S. S. Wesley and His Holsworthy Tune, No. 2

PREPRINT SERIES 2011 / 2012 NO : 2 TITLE : ‘ BRICK WALLS AND ADS / CFT ’ AUTHOR ( S ) : Dr

We discuss the relationship between the bulk-boundary correspondence in Rehren’s algebraic holography (and in other ‘fixed-background’, QFT-based, approaches to holography) and in mainstream string-theoretic ‘Maldacena AdS/CFT’. Especially, we contrast the understanding of black-hole entropy from the point of view of QFT in curved spacetime – in the framework of ’t Hooft’s ‘brick wall’ model – ...

NO : 3 TITLE : ‘ COVERS FOR S - ACTS AND CONDITION ( A ) FOR A MONOID S ’ AUTHOR ( S ) : Professor Victoria Gould Dr

A monoid S satisfies Condition (A) if every locally cyclic left S-act is cyclic. This condition first arose in Isbell’s work on left perfect monoids, that is, monoids such that every left S-act has a projective cover. Isbell showed that S is left perfect if and only if every cyclic left S-act has a projective cover and Condition (A) holds. Fountain built on Isbell’s work to show that S is left ...

Dr. K. S. Ray

Dr H. S. Davidson

interests of this ancient Society; we recall the occasions on which, by means of papers and discussion, he contributed so profitably to our deliberations out of his large experience; but we remember, perhaps, more even than these, the appeal of a personality that charmed us alike by its simplicity, its sympathy and its sincerity. The loss the Society has sustained in the death of Davidson is a ...

Coloring with no 2-Colored P4's

A proper coloring of the vertices of a graph is called a star coloring if every two color classes induce a star forest. Star colorings are a strengthening of acyclic colorings, i.e., proper colorings in which every two color classes induce a forest. We show that every acyclic k-coloring can be refined to a star coloring with at most (2k2 − k) colors. Similarly, we prove that planar graphs have ...